The equation of line L is y=5x+1
The equation of line L is 2y-10x+3=0
Show that these two lines are parallel.
Please help, will award brainliest.
Answers
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
L₁ is y = 5x + 1 ← in slope- intercept form
with slope m = 5
L₂ is 2y - 10x + 3 = 0 ( subtract - 10x + 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - [tex]\frac{3}{2}[/tex] ← in slope- intercept form
with slope m = 5
Since L₁ and L₂ have equal slopes then they are parallel lines
Related Questions
what is 2.49 x 10^4 divided by 3.0 x 10^2 written in scientific notation?
A. 8.3 x 10^1
B. 0.83 x 10^2
C. 83 x 10^2
D. 830 x 1^1
HELP ASAPPPP!!!!!!!!!!!!
Answers
The rewritten form of the number 2.49 x 10^4 divided by 3.0 x 10^2 in scientific notation as required in the task content is; Choice A; 8.3 × 10¹
What is the number 2.49 x 10^4 divided by 3.0 x 10^2 written in scientific notation?According to the task content, it follows that the result of the quotient is to be determined.
The quotient can be evaluated as follows;
= (2.49 × 10⁴)/(3.0 × 10²)
= (2.49/3.0) × (10⁴/10²)
= 0.83 × 10²
Hence, when expressed in scientific notation, the result is; 8.3 × 10¹.
Ultimately, The rewritten form of the number 2.49 x 10^4 divided by 3.0 x 10^2 in scientific notation as required in the task content is; Choice A; 8.3 × 10¹.
Read more on scientific notation;
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Write the ratio 12 to 18 as a fraction in simplest form.
Answers
x to y can be expressed as a fraction this way: x/y.
Let x = 12
Let y = 18
12/18
We can now reduce to lowest terms.
Dividing 12 and 18 by 6, we get 2/3 as the final answer.
The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:
12 ÷ 6 = 2
18 ÷ 6 = 3
Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
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Select the equation that can be used to solve log4(x+4)+log4(x-2)=2
Answers
Answer:
option b ......................
The equation that can be used to solve log₄(x + 4) + log₄(x - 2) = 2 is
x² + 2x - 8 = 0.
What is a logarithm?The logarithm is the opposite of the exponential function.
This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
Given, log₄(x + 4) + log₄(x - 2) = 2.
We know logₐx + logₐy = logₐxy.
log₄(x + 4)(x - 2) = 2.
log₄(x² - 2x + 4x - 8) = 2.
log₄(x² + 2x - 8) = 2.
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One runner has run 15 miles this month and plans to run 2 1/2 miles per day for the rest of the month. Another runner has not yet run this month but plans to run 3 1/4 miles per day for the rest of the month. After how many days will the two runners have run the same number of miles?
Answers
Answer:
After 20 days, the two runners will have run the same number of miles
Step-by-step explanation:
The problem can be solved by using equations. However, we'll approach the solution by using pure reasoning and logic, besides calculations.
The first runner has already run 15 miles this month and plans to run 2 1/2=2.5 miles per day for the rest of the month.
The other runner has not yet run and plans to run 3 1/4 = 3.25 miles per day for the rest of the month. Since his running rate is greater than the other runner, they will both eventually have the same number of miles.
The difference in their running rates is 3.25 - 2.5 = 0.75 miles per day. Since the current difference between them is 15 miles, the second runner needs to run for 15 / 0.75 = 20 days.
After 20 days, the two runners will have run the same number of miles
determine the linear factors 18x^3-34x^2+16x
Answers
Answer:
good luck tho oh and dont forget to tell me the answer
Step-by-step explanation:
Answer:
2x(9x - 8)(x - 1)
Step-by-step explanation:
What does point (4,2) tell about the walking speed
Answers
Answer:
In 4 hours the guy walked 2 miles
Step-by-step explanation:
the 4 represents the hours and the 2 represents the miles
pls help me with this lol
Answers
Answer:
a) 95 miles
b) Chester
c) 194 miles
Step-by-step explanation:
Chart Reading
From the chart, we can know the relative distances from each place as follows:
a) From Hereford to Chester there are 95 miles
b) Kendal is 99 miles from Chester
c) If Ellen drives from Kendal to Hereford, passing by Chester, she will drive 99+95=194 miles
Note this last result is different from the direct distance from Kendal to Chester since the 201 miles are not specified if they are through Chester or not.
Hello I need help with this, Don Manuel has 600m of fence to build a rectangular-shaped corral. You will take advantage of a very long wall as one of the sides of the pen, that is, on the side of the wall you will not use fence. What should be the dimensions of the pen with maximum area among all those that use 600m of fence?
Answers
Answer: If the wall is 300 meters long, the dimensions of the fence with the maximum area will be 300 × 150 = 45000 m²
Step-by-step explanation:
try combinations in a chart
190 × (600-190)/2 = 38950 = 190 × 205 increasing area
200 × (600-200)/2 = 40000 = 200 × 200
220 × (600-220)/2 = 41800 == 220 × 190
240 × (600-240)/2 = 43200 == 240 × 180
260 × (600-260)/2 = 44200 == 260 × 170
280 × (600-280)/2 = 44800 . == 280 × 160
300 × (600-300)/2 = 45000 == 300 × 150 Maximum Area
310 × (600-310)/2 = 44950 . == 310 × 145 decreasing area
320 × (600-320)/2 = 44800 . == 320 × 140
If you work 40 hours in a week and make $800. If the how much money you will make varies directly
with hours you work, how much will you make if you work 60 hours?
Answers
Answer:
$1200
Step-by-step explanation:
20 hours makes $400
so when you add 20 hours to 40 hours its basically adding $400 to $800
Someone please I’m begging this is due by midnight and I can’t have it be late
Answers
Answer:
(1) Coeficcient (2) Constant (3) 4 terms (4) In descending order, 2, 1, 3, 4 (5) -2 (6) 1 (7) 5 (8) 2 (9) -15, 5x, -7x^2, 2x^3 (10) -4x^2y, 2xy, 5x, 7
Step-by-step explanation:
Sorry if I got one wrong
Answer:
1) Coefficient
2) Constant
3) 4
4) 3x^2 = 2
10x = 1
6x^3 = 3
x^2y^2 = 4
5) 3
6) 2
7) 5
8) 1
9) 2x^3-7x^2+5x-15
10) -4x^3y+2xy+5x+7
WILL GIVE BRAINLIEST TO CORRECT ANSWER(S)
A: What is the value of the correlation coefficient?
A: -0.93
B: 0.96
C: ±1.00
D: -0.96
E: 0.93
B: How strong is the relationship between the two data sets?
A: perfect
B: no strength
C: moderately strong
D: weak
E: very strong
If the trend continues, about how many hours would you expect a student to have studied if the student scores a 68 on the exam? Round your answer to the nearest hundredth.
A: 8.39 hours
B: 8.50 hours
C: 7.83 hours
D: 9.00 hours
E: 8.96 hours
Plz help this is was due yesterday.
Answers
Answer:
A: The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.
B: he correlation coefficient is a statistical calculation that is used to examine the relationship between two sets of data. The value of the correlation coefficient tells us about the strength and the nature of the relationship. Correlation coefficient values can range between +1.00 to -1.00.
Step-by-step explanation:
Hopefully this helped!!!
Hi again so this problem I got stuck on can someone help me with this thank u so much and also I hope everyone had a good thanksgiving ❤️
Answers
Step by step:
A:
2x+8=-3.5x+19
2x+3.5x=19-8
5.5x=11
x=2
B:
9(x-2)=7x+5
9x-18=7x+5
9x-7x=5+18
2x=23
x=11.5
C:
3(3x+2)-2x=7x+6
9x+6-2x=7x+6
7x+6=7x+6
No solution
How do you solve n=17
Answers
Answer:
uhm chile anyways
Step-by-step explanation:
i just want points lol
Steve buys 21lbs of grapefruit and 3lbs of oranges for $7.20. Kennedy buys 4lbs of grapefruit and 2lbs or oranges for $8.80. How much was the price for a pound of grapefruit and oranges?
Answers
Answer:
19.6
Step-by-step explanation:
21+3=24
24-7.20=16.8
4+2=6
6-8.80=-2.8
19.6
Answer:
19.6
Step-by-step explanation:
21+3=24
24-7.20=16.8
4+2=6
6-8.80=-2.8
19.6
How many times the volume of the small cube is the volume of the large cube? Small cube 3x large cube 6x
Answers
Answer:
8 times
Step-by-step explanation:
volume if cube = l³
volume of small cube = (3x)³ = 27x³
Volume of Large cube = (6x)³ = 216x³
216x³/27x³ = 8
The volume of large cube = 8 × Volume of small cube
HELPPPPPPPPPPP
WHAT IS 67+8,900+12+14+15????
Answers
Answer:
9,008
Step-by-step explanation:
67 + 12 = 79
14 + 15 = 29
79 + 29 = 108
8,900 + 108 = 9,008
plz mark me brainliest
Answer:
9008
Step-by-step explanation:
67+8,900= 8967
8967+12= 8979
8979+14 = 8993
8993+15=9008
Me gustaría saber la respuesta
Answers
Answer:
es 2 denada......
Answer:
2
Step-by-step explanation:
Solve the system of linear equations by substitution.
x=2y+7
3x−2y=3
solution: (
,
)
Answers
So your first “equation equals to x so then you substitute the X in the second equation with the first equation. Which would give you 3(2y+7)-2y=3 then you solve (make sure to distribute). Which would give you y=-4.5 Can you substitute your y answer in your first equation. Which would be x= 2(-4.5)+7 then your solve
simplify (1) ✓(125 square) -1/3. (2) (18/32)-3/2
Answers
A grocery store sells a bag of 4 oranges for $3.80. How much does one orange cost?
Answers
Answer:
95 cents
Step-by-step explanation:
3.80/4 = 0.95
The scatterplot shows the average number of hours each of 12 people spends at work every week and the average number of hours each of them spends on recreational activities every week. Based on the scatterplot, what is the best prediction of the average number of hours a person spends on recreational activities every week if that person spends an average of 40 hours at work every week?
A) 17
B) 22
C. 28
D) 33
Answers
Answer: 22
Step-by-step explanation: I took the test
Answer:
22
Step-by-step explanation:same but in the past
Lou is playing an online trivia game. She has 20 points and earns 4 points for
each correct answer. She will advance to the next round if her score is over 55
points.
Which inequality can Lou use to find how many more questions she must
answer correctly to advance to the next round?
O A. 4x + 55 < 20
O B. 4x + 20 > 55
O C. 20x+4 > 55
D. 4x + 20 < 55
Answers
Answer:
B. 4x + 20 > 55
Which statement is not true about the data shown by the box plot below?
a. Half the data lies between 53 and 74.
b. The range is 57.
c. Three fourths of the data is greater than 65.
d. The median of the lower half of the data is 53.
Answers
Answer:
c. Three fourths of the data is greater than 65.
Step-by-step explanation:
A. is right, half of the data does lie between 53 and 74.B. is right, when calculated, the range is 57.C. is wrong.D. is right, the median of the lower half of the data is 53.I've attached a helpful image of box-and-whisker plots!Please help
Show work if you can
Thank you!
Answers
Answer:
y= -1/2 + 2
Step-by-step explanation:
To find m or the slope you need to find 2 locations that the line intercepts a point on the graph. I used (0,2) and (2,1).
Then you find the difference of the x and y coordinates. (x,y)
X-coordinates: 0 and 2. 0 - 2 = -2
Y-coordinates: 2 and 1. 2 - 1 = 1
A slope fraction is the difference of y over the difference of x coordinates. It would be written as 1/-2 or -1/2. m= -1/2
To find the b value, just look at the y-intercept or where the line intercepts the y-axis. Which is at (0,2). So b=2
Please help!
What is 7% of 600
Answers
Answer:
42
Step-by-step explanation:
Hope this helps
The function y = (x + 4)4 is a transformation of the graph of the parent function y = x4. How is the zero of the parent function affected by the transformation?
A The zero of the function is shifted 4 units to the right.
B The zero of the function is shifted 4 units down.
C The zero of the function is shifted 4 units to the left.
D The zero of the function is shifted 4 units up.
Answers
Thank you
I hope it’s help you
The correct answer is option C which is The zero of the function is shifted 4 units to the left.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
When we plot the functions on the graph we can see that the vertex of the parabola is shifted from the ( 0,0 ) to ( 4,0 ).
Therefore the correct answer is option C which is . The zero of the function is shifted 4 units to the left.
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Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an additional $0.09 per mile driven. The second plan has an initial fee of $42 and costs an additional $0.13 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same?
Answers
Answer:
The amount driven would be 275, and the cost for both plans will be 77.75$
Step-by-step explanation:
make both equations
y=0.09x+53
y=0.13x+42
set them equal to each other and solve for x to get the distance
take that number and put it in one equation and solve for y to get the price of the plan for that value
is this correct? ILL MARK YOU BRAINIEST
Answers
Answer:
yes
Step-by-step explanation:
This is correct.
Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.
[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]
[tex]3.0*10^{-5}[/tex]
So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.
BRAINLIEST!!! What is 2×3×4×5×6×7×8×9×10+0
Answers
Answer:
3,628,800
Step-by-step explanation:
Two buses, which are 2400 miles apart, travel towards each other. Their speeds differ by 60 miles per hour. They pass each other after 5 hours. Find their speeds.
Answers
According to the Question
Two buses started 2400 miles apart
They pass each other and they must have together to cover = 2400 miles
Now
Using Formula :-
Distance = Speed × Time
First bus ⇒ 5 × b = 5b
Second bus ⇒ 5(b + 60)
Now put in a Equation we get :-
5b + 5(b + 60) = 2400
5b + 5b + 300 = 2400
10b + 300 = 2400
10b = 2400 - 300
10b = 2100
b = 2100 / 10
b = 210
Hence :-
One bus speed is 210 miles
Another bus speed ⇒ 210 + 60 = 270 miles